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Finding the Third Proportional to 133,804 and 206,702

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Solution

The third proportional to 133,804 and 206,702 is: 319,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,804 : 206,702 = 206,702 : x
  2. Step 2: Convert to fraction form
    133,804/206,702 = 206,702/x
  3. Step 3: Cross multiply
    133,804x = 206,702 × 206,702
  4. Step 4: Simplify right side
    133,804x = 42,725,716,804
  5. Step 5: Solve for x
    x = 42,725,716,804/133,804
  6. Step 6: Final answer
    x = 319,315.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.